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ratelena [41]
3 years ago
11

Can someone help me please

Mathematics
2 answers:
Anastaziya [24]3 years ago
5 0

Answer:

h = 7.7 cm

Step-by-step explanation:

Since the triangle is right use the sine ratio to find h

sin31° = \frac{opposite}{hypotenuse} = \frac{h}{15}

[ multiply both sides by 15 ]

h = 15 × sin31° = 7.7 cm ( to 1 dec. place )

vlabodo [156]3 years ago
4 0

Answer:   h = 7.7 cm

<u>Step-by-step explanation:</u>

We know that θ = 31°, the hypotenuse = 15 cm, and we are looking for the opposite side = h.

sin\ \theta=\dfrac{opposite}{hypotenuse}\\\\\\sin\ 31^o=\dfrac{h}{15}\\\\\\\text{multiply both sides by 15 to get:}\\15\ sin\ 31^o=h\\\\.\qquad 7.72 = h\\\\\\\text{rounded to one decimal place we get:}\\h = 7.7

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What is the value of b? 2x2-6x-20=0
spin [16.1K]

Answer:

b = -6

Step-by-step explanation:

We use the general equation   a*x^2 + bx + c = 0,  the Quadratic Equation.

Compare it to 2x^2 - 6x - 20 = 0

b = -6 here

6 0
3 years ago
The length of a garden box is 6 feet longer than 4times the width. If the length of the garden box is 22 feet, what is the width
erica [24]

Answer:

Width of the garden box = 4 feet

Step-by-step explanation:

Given that:

Length of garden box = 22 feet

Let,

w be the width of garden box

It is also given that:

The length of a garden box is 6 feet longer than 4 times the width.

L = 4w + 6

Putting L = 22

22 = 4w + 6

22 - 6 = 4w

4w = 16

Dividing both sides by 4

\frac{4w}{4}=\frac{16}{4}\\w=4

Hence,

Width of the garden box = 4 feet

7 0
3 years ago
1/7 rounded to 2 decimal places
dmitriy555 [2]

Answer:

0.14

Step-by-step explanation:

1/7 = 0.142

Since 2<5 the answer is 0.14.

5 0
3 years ago
What is the length of the diagonal of a TV that measures 2.25 feet high and 4 feet wide?
NikAS [45]

Answer:  Rounded, the diagonal is 4.6 feet

Step-by-step explanation: Use the Pythagorean Theorem:  c² = a² + b²

Then take the square root of c² to find the length

2.25² =5.0625  This is a²

4² = 16  This is b²    Add a² + b²  to get c²

5.o625 + 16 = 21.0625 This is c²

√21.0625 = 4.589389938 This is the square root.

Round this to common measurements or "significant digits"  4.6 feet.

6 0
3 years ago
What is the approximate volume of one refraction cup? What’s its formula ?
Marizza181 [45]

Answer:

Volume = 0.1696 L

The formula is Area of base of refraction cup × Depth of the refraction cup

Step-by-step explanation:

The dimensions of a refraction cup are;

Diameter = 120 mm

Depth = 30 mm

Therefore, volume of the refraction cup = Area of base × Depth

Volume of the refraction cup = (π×120²/4)/2 × 30 = 169646.003 mm³

1 L = 1000000 mm³

Therefore, 169646.003 mm³ = 169646.003/1000000 m³ = 0.1696 L

The formula is Area of base of refraction cup × Depth of the refraction cup.

6 0
3 years ago
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